4 citations · 14 across the 12 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.FA2013★ 3 cited
Operator Monotone Functions: Characterizations and Integral Representations
Pattrawut Chansangiam
Operator monotone functions, introduced by Lowner in 1934, are an important class of real-valued functions. They arise naturally in matrix and operator theory and have various app…
math.FA2013★ 2 cited
Integral Representations and Decompositions of Operator Monotone Functions on the Nonnegative Reals
Pattrawut Chansangiam
In this paper, we show that there is a one-to-one correspondence between operator monotone functions on the nonnegative reals and finite Borel measures on the unit interval. This c…
math.FA2013★ 2 cited
The Normed Ordered Cone of Operator Connections
Pattrawut Chansangiam, Wicharn Lewkeeratiyutkul
A connection in Kubo-Ando sense is a binary operation for positive operators on a Hilbert space satisfying the monotonicity, the transformer inequality and the continuity from abov…